The character of pure spinors

Nathan Berkovits, Nikita A. Nekrasov

Research output: Contribution to journalArticlepeer-review

37 Citations (Scopus)


The character of holomorphic functions on the space of pure spinors in 10, 11 and 12 dimensions is calculated. From this character formula, we derive in a manifestly covariant way various central charges which appear in the pure spinor formalism for the superstring. We also derive in a simple way the zero momentum cohomology of the pure spinor BRST operator for the D=10 and D=11 superparticle.

Original languageEnglish
Pages (from-to)75-109
Number of pages35
JournalLetters in Mathematical Physics
Issue number1
Publication statusPublished - Oct 2005
Externally publishedYes


  • Covariant quantization of the superstring
  • Fixed point formulae
  • Pure spinors


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